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Finding the Third Proportional to 6,423,553.50 and 9,614,018.25

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Solution

The third proportional to 6,423,553.50 and 9,614,018.25 is: 14,389,130.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,423,553.50 : 9,614,018.25 = 9,614,018.25 : x
  2. Step 2: Convert to fraction form
    6,423,553.50/9,614,018.25 = 9,614,018.25/x
  3. Step 3: Cross multiply
    6,423,553.50x = 9,614,018.25 × 9,614,018.25
  4. Step 4: Simplify right side
    6,423,553.50x = 92,429,346,911,333.06
  5. Step 5: Solve for x
    x = 92,429,346,911,333.06/6,423,553.50
  6. Step 6: Final answer
    x = 14,389,130.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.